Bayesian Parameter Estimation of Weibull Mixtures Using Cuckoo Search

Abstract

It is difficult to estimate the parameters of Weibull mixtures precisely when using these distributions to analyze the reliability of equipment parts. As to this problem, an optimization model of the Weibull mixtures based on the Bayes theorem is proposed, and the cuckoo search is used to solve the optimization model. An case makes the diesel injector as the object of study and the two-component Weibull distribution as the life distribution. Three algorithms including cuckoo search (CS), particle swarm optimization (PSO) and genetic algorithm (GA) are used to solve the optimization model, and their solving results are compared. The result shows that the cuckoo search is the best algorithm of the three in solution efficiency and convergence performance.